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320220011140 = 225232293837937
BaseRepresentation
bin1001010100011101001…
…10011001101010000100
31010121112200110000112121
410222032212121222010
520221302310324030
6403035042055324
732064231120211
oct4521646315204
91117480400477
10320220011140
11113893936a07
125208904a544
1324272c79043
14116da738b08
1584e28d847a
hex4a8e999a84

320220011140 has 96 divisors (see below), whose sum is σ = 706692833280. Its totient is φ = 121650118656.

The previous prime is 320220011123. The next prime is 320220011161. The reversal of 320220011140 is 41110022023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40341252 + ... + 40349188.

It is an arithmetic number, because the mean of its divisors is an integer number (7361383680).

Almost surely, 2320220011140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320220011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353346416640).

320220011140 is an abundant number, since it is smaller than the sum of its proper divisors (386472822140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320220011140 is a wasteful number, since it uses less digits than its factorization.

320220011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8581 (or 8579 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 320220011140 its reverse (41110022023), we get a palindrome (361330033163).

The spelling of 320220011140 in words is "three hundred twenty billion, two hundred twenty million, eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 229 230 383 458 460 766 916 1145 1532 1915 2290 3830 4580 5267 7660 7937 8809 10534 15874 17618 21068 26335 31748 35236 39685 44045 52670 79370 87707 88090 105340 158740 175414 176180 182551 350828 365102 438535 730204 877070 912755 1754140 1817573 1825510 2017261 3039871 3635146 3651020 4034522 6079742 7270292 8069044 9087865 10086305 12159484 15199355 18175730 20172610 30398710 36351460 40345220 41804179 60797420 69917033 83608358 139834066 167216716 209020895 279668132 349585165 418041790 696130459 699170330 836083580 1392260918 1398340660 2784521836 3480652295 6961304590 13922609180 16011000557 32022001114 64044002228 80055002785 160110005570 320220011140